Homework 6 Solution - Homework 6 Solution P671-Group A-1:...

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Unformatted text preview: Homework 6 Solution P671-Group A-1: Part (a) ? : 50000 + 100000 ? . ? . 5 + 17 40 20 + 7 60 0; Part (b): No; No Part (c): It accounts for the non-linearity between and . P672-Group A-9: : 10 min( 1 + 2 , 120) 20 1 2 40 1 3 ? . ? . 0 1 70 2 70 P679: 1. Convex 2. Neither 3. Convex 4. Concave 5. Concave 6. Neither 7. Convex 8. Concave 9. Concave 10. Convex if 4 ? 2 ; Neither otherwise. 11. Prove by contradiction. Suppose the local optimal solution is not optimal solution. By the fact that f(x) is convex, it can be shown that the local optimal solution violates the definition of local optimum. 12. Take two points 1 and 2 from set . For any 1 , the convexity of ( ) and imply that 1 + 1 2 1 + 1 ( 2 ) and 1 + 1...
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This note was uploaded on 03/14/2012 for the course IEOR 160 taught by Professor Hochbaum during the Fall '07 term at University of California, Berkeley.

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Homework 6 Solution - Homework 6 Solution P671-Group A-1:...

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